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A117579
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Numerator of Sum[i=1..n] 1/(p(i)^p(i)), p(i) = i-th prime.
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7
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1, 31, 96983, 79870008269, 22787845491220720044859, 6901871132161346809864777612017764827, 5709505682874900155174610004469973097336266239002423739879, 11295798267103963562742898223286548990219261148710007871289771185589362412305596041
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = Numerator of Sum[i=1..n] 1/(p(i)^p(i)). a(n) = Numerator of Sum[i=1..n] 1/(A000040(i)^A000040(i)). a(n) = Numerator of Sum[i=1..n] 1/A051674(i).
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EXAMPLE
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1/4, 31/108, 96983/337500, 79870008269/277945762500, 22787845491220720044859/79301169838123235887500,
6901871132161346809864777612017764827/24018350267611933650627567399079537500
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MATHEMATICA
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Numerator[Accumulate[1/#^#&/@Prime[Range[10]]]] (* Harvey P. Dale, Jan 24 2013 *)
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CROSSREFS
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KEYWORD
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easy,frac,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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